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Finding the Fourth Proportional to 2,878.40, 4,311.52 and 2,392.40

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Solution

The fourth proportional to 2,878.40, 4,311.52 and 2,392.40 is: 3,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.40 : 4,311.52 = 2,392.40 : x
  2. Step 2: Convert to fraction form
    2,878.40/4,311.52 = 2,392.40/x
  3. Step 3: Cross multiply
    2,878.40x = 4,311.52 × 2,392.40
  4. Step 4: Simplify right side
    2,878.40x = 10,314,880.45
  5. Step 5: Solve for x
    x = 10,314,880.45/2,878.40
  6. Step 6: Final answer
    x = 3,583.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.